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arxiv: 1710.06379 · v2 · pith:TYMQJ7HHnew · submitted 2017-10-17 · 🧮 math.RT · math.NT

C*-algebraic normalization and Godement-Jacquet factors

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keywords algebraicfactorsgodement-jacquetmathrmnormalizationappearscertaindistribution
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We observe how certain distribution on $\mathrm{GL}(n)$ that generates Godement-Jacquet $\gamma$-factors appears naturally in the C*-algebraic normalization process for standard intertwining integrals on $\mathrm{SL}(n+1)$.

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